Q: What are the factor combinations of the number 324,031,339?

 A:
Positive:   1 x 32403133917 x 1906066719 x 17054281323 x 1003193
Negative: -1 x -324031339-17 x -19060667-19 x -17054281-323 x -1003193


How do I find the factor combinations of the number 324,031,339?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 324,031,339, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 324,031,339
-1 -324,031,339

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 324,031,339.

Example:
1 x 324,031,339 = 324,031,339
and
-1 x -324,031,339 = 324,031,339
Notice both answers equal 324,031,339

With that explanation out of the way, let's continue. Next, we take the number 324,031,339 and divide it by 2:

324,031,339 ÷ 2 = 162,015,669.5

If the quotient is a whole number, then 2 and 162,015,669.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 324,031,339
-1 -324,031,339

Now, we try dividing 324,031,339 by 3:

324,031,339 ÷ 3 = 108,010,446.3333

If the quotient is a whole number, then 3 and 108,010,446.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 324,031,339
-1 -324,031,339

Let's try dividing by 4:

324,031,339 ÷ 4 = 81,007,834.75

If the quotient is a whole number, then 4 and 81,007,834.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 324,031,339
-1 324,031,339
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

117193231,003,19317,054,28119,060,667324,031,339
-1-17-19-323-1,003,193-17,054,281-19,060,667-324,031,339

More Examples

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